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Finding the Fourth Proportional to 295,709.82, 408,079.14 and 168,385.41

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Solution

The fourth proportional to 295,709.82, 408,079.14 and 168,385.41 is: 232,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,709.82 : 408,079.14 = 168,385.41 : x
  2. Step 2: Convert to fraction form
    295,709.82/408,079.14 = 168,385.41/x
  3. Step 3: Cross multiply
    295,709.82x = 408,079.14 × 168,385.41
  4. Step 4: Simplify right side
    295,709.82x = 68,714,573,301.35
  5. Step 5: Solve for x
    x = 68,714,573,301.35/295,709.82
  6. Step 6: Final answer
    x = 232,371.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.